---
license: mit
task_categories:
- text-generation
language:
- en
tags:
- lean4
- theorem-proving
- mathematics
- proofnet
- undergraduate-mathematics
- formal-verification
size_categories:
- n<1K
dataset_info:
  features:
  - name: uuid
    dtype: string
  - name: name
    dtype: string
  - name: formal_statement
    dtype: string
  - name: goal_state
    dtype: string
  splits:
  - name: validation
    num_bytes: 67076
    num_examples: 185
  - name: test
    num_bytes: 66903
    num_examples: 186
  download_size: 69538
  dataset_size: 133979
configs:
- config_name: default
  data_files:
  - split: validation
    path: data/validation-*
  - split: test
    path: data/test-*
---

# ProofNet-SATP — Lean 4 (371 problems, SATP-normalized)

ProofNet (undergraduate-level mathematics theorem-proving benchmark, 371
problems from Rudin / Munkres / Dummit-Foote / Axler / Herstein /
Ireland-Rosen / Artin) normalized for the SATP-DSP-Eval pipeline.

Upstream: [deepseek-ai/DeepSeek-Prover-V1.5](https://github.com/deepseek-ai/DeepSeek-Prover-V1.5)
`datasets/proofnet.jsonl` — the Lean 4 port of
[hoskinson-center/proofnet](https://huggingface.co/datasets/hoskinson-center/proofnet)
shipped with DeepSeek-Prover V1.5.

## Differences from upstream

| Field | Upstream | This repo |
|-------|----------|-----------|
| `formal_statement` | bare theorem | `import Mathlib\n\n<theorem>` (header baked in) |
| `uuid` | absent | `sha256(canonical(formal_statement))[:16]` after baking |
| `split` | `valid` / `test` | `validation` / `test` (matches minif2f-satp naming) |
| `goal_state` | shipped as `goal` | renamed; value byte-identical |

**Dropped**: `informal_prefix` (the `/-- ... -/` English statement). Mirrors
`ChristianZ97/minif2f-satp` which drops informal_* fields. The SATP eval
pipeline reads only `formal_statement`.

**Dropped from baked header**: the per-row `open` / `open scoped` /
`set_option` directives. Only `import Mathlib` is baked in. Same pattern
as `minif2f-satp`. Consumer scripts strip the import preamble then layer
their own canonical opens.

## Schema

| Field | Type | Description |
|-------|------|-------------|
| `name` | `str` | Stable identifier, upstream verbatim (e.g. `exercise_1_13a`) |
| `uuid` | `str` | `sha256(canonical(formal_statement))[:16]` |
| `split` | `str` | `"validation"` (185 rows) or `"test"` (186 rows) |
| `formal_statement` | `str` | `import Mathlib\n\n<theorem>`, ends in ` := by` |
| `goal_state` | `str` | Initial proof goal, byte-identical to DSP V1.5 |

## Citation

```bibtex
@inproceedings{azerbayev2023proofnet,
  title={ProofNet: Autoformalizing and Formally Proving
         Undergraduate-Level Mathematics},
  author={Zhangir Azerbayev and Bartosz Piotrowski and Hailey Schoelkopf
          and Edward W. Ayers and Dragomir Radev and Jeremy Avigad},
  booktitle={Proceedings of the 12th International Conference on Learning
             Representations (ICLR)},
  year={2024}
}
```